Functional analysis behind a family of multidimensional continued fractions. Part II

This paper is a direct continuation of Functional analysis behind Family Multidimensional Continued Fractions: Part I, in which we started the exploration functional transfer operators for triangle partition maps, family that includes many, if not most, well-known multidimensional continued fraction algorithms. allows us now to find eigenfunctions eigenvalue 1 associated with select maps on specified Banach spaces. We proceed prove operators, viewed as acting one-dimensional families Hilbert spaces, are nuclear trace class zero. finish by deriving Gauss-Kuzmin distributions maps.